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Finding the Third Proportional to 923,509,531 and 1,431,185,502

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Solution

The third proportional to 923,509,531 and 1,431,185,502 is: 2,217,943,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,509,531 : 1,431,185,502 = 1,431,185,502 : x
  2. Step 2: Convert to fraction form
    923,509,531/1,431,185,502 = 1,431,185,502/x
  3. Step 3: Cross multiply
    923,509,531x = 1,431,185,502 × 1,431,185,502
  4. Step 4: Simplify right side
    923,509,531x = 2,048,291,941,134,992,128
  5. Step 5: Solve for x
    x = 2,048,291,941,134,992,128/923,509,531
  6. Step 6: Final answer
    x = 2,217,943,477.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.